The assumption of diffusion-adsorption phenomena in the chromatographic separation of glucose and fructose on columns of Ca2+-form sulphone catex (styrene-divinylbenzene) does not provide, according to the results, the mathematical model corresponding to the actual phenomena in the separation process.
The metabolic network - containing 1139 (m) reactions 977 (n) metabolites - was converted into a mathematical model corresponding to a m × n matrix defining the stoichiometric coefficient of reactions.
These experimental results are used to invalidate models of these networks, resulting in a cyclic process which aims to produce a mathematical model corresponding to a signalling pathway structure which explains all available wild type and mutant experimental data.
Mathematical models and corresponding programs of reaction, separation, and the flow-sheet of CD process were validated.
Complete and valid consideration of these factors for complex road networks is possible only by means of mathematical models and corresponding software applications.
Although the porous continuum model leads to a much simpler mathematical modeling, and corresponding less numerical effort, the validity of the model is restricted to cases in which the transport phenomenon at the continuum level allows the homogenization of the domain.
To summarize, parameter estimation or data fitting, respectively, is extremely important in all practical situations, where a mathematical model and corresponding experimental data are available to describe the behaviour of a dynamical system.
These data are used to parameterise the mathematical model scenarios corresponding to these centres.
The mathematical models with the corresponding parameters of generation units, excitation systems, governor systems and loads have been identified and verified.
The major relevant mathematical models and the corresponding numerical results are presented together with the experimental data obtained up to the present time.
